13740084820 has 288 divisors, whose sum is σ = 37778162688. Its totient is φ = 4105728000.

The previous prime is 13740084803. The next prime is 13740084863. The reversal of 13740084820 is 2848004731.

13740084820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13740084820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50701285 + ... + 50701555.

It is an arithmetic number, because the mean of its divisors is an integer number (131174176).

Almost surely, 2^13740084820 is an apocalyptic number.

13740084820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13740084820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889081344).

13740084820 is an abundant number, since it is smaller than the sum of its proper divisors (24038077868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13740084820 is a wasteful number, since it uses less digits than its factorization.

13740084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 13740084820 in words is "thirteen billion, seven hundred forty million, eighty-four thousand, eight hundred twenty".